No, enter your SSN on the Form W-9 - do not enter the EIN for your single-member LLC.
Since it is a disregarded entity, income from your single-member LLC is reported and taxed on your personal tax return. If a payor requests a Form W-9 from you (to prepare the 1099-NEC or 1099-MISC), you should provide your SSN.
Using your SSN for the W-9 will ensure the IRS can match that income to your personal return.
